Atkin-Lehner |
2- 3+ 17+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
30192j |
Isogeny class |
Conductor |
30192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-418404600576 = -1 · 28 · 35 · 173 · 372 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 1 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-180325,-29413511] |
[a1,a2,a3,a4,a6] |
j |
-2533109582445346816/1634392971 |
j-invariant |
L |
1.8534263751237 |
L(r)(E,1)/r! |
Ω |
0.11583914844514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7548e1 120768di1 90576br1 |
Quadratic twists by: -4 8 -3 |